The correlation between gpm and Hero Damage is 0.72. The more gpm, the more Hero Damage, and vice versa. But some values are higher than expected, some are lower. Efficiency is a difference between the value of Hero Damage depending on gpm (blue dots) with respect to the expected value (red line).
Efficiency
Zeus 374.4051
Bristleback 246.4411
Techies 220.6140
Arc Warden 183.1170
Skywrath Mage 173.5915
Leshrac 165.1713
Sniper 157.9862
Necrophos 154.8217
Nyx Assassin 146.7914
Venomancer 146.7908
Spectre 142.8971
Tinker 142.7970
Ember Spirit 138.4466
Pugna 132.4230
Witch Doctor 116.2800
Outworld Destroyer 106.5744
Clockwerk 104.8835
Viper 99.0475
Axe 96.8815
Razor 95.5100
Warlock 92.8753
Timbersaw 77.6799
Huskar 74.3809
Gyrocopter 69.6918
Clinkz 68.5290
Enigma 65.9335
Legion Commander 62.8921
Shadow Demon 59.0449
Queen of Pain 58.4292
Puck 57.0594
Phoenix 54.8979
Jakiro 53.9354
Muerta 53.2145
Lich 52.0617
Phantom Assassin 51.9053
Ursa 43.3387
Death Prophet 39.7946
Enchantress 39.3649
Dark Willow 37.1737
Ancient Apparition 32.4574
Medusa 31.7105
Phantom Lancer 29.4103
Disruptor 27.7991
Bane 27.4042
Shadow Fiend 21.0282
Bloodseeker 20.3509
Rubick 18.9362
Earth Spirit 18.3213
Crystal Maiden 14.2905
Void Spirit 12.2559
Winter Wyvern 11.2333
Sand King 10.5205
Primal Beast 9.7057
Underlord 9.0719
Hoodwink 8.2783
Elder Titan 4.1352
Earthshaker 4.0268
Silencer 1.2044
Lina 0.3801
Weaver -1.7643
Templar Assassin -2.4866
Juggernaut -2.4872
Luna -2.8117
Invoker -4.9600
Riki -7.1850
Monkey King -7.7910
Pudge -8.4379
Drow Ranger -8.9522
Troll Warlord -9.0043
Keeper of the Light -12.0956
Treant Protector -12.4961
Vengeful Spirit -13.8340
Storm Spirit -15.6430
Morphling -17.5680
Omniknight -21.4440
Snapfire -22.5165
Tiny -25.9708
Lifestealer -26.7612
Dark Seer -27.1138
Grimstroke -28.7569
Ogre Magi -29.5704
Lion -32.2372
Kunkka -32.2746
Wraith King -33.2605
Windranger -34.8798
Beastmaster -39.9570
Tusk -41.4832
Visage -41.8949
Dawnbreaker -51.5643
Batrider -51.9814
Centaur Warrunner -53.0458
Pangolier -54.1238
Oracle -57.6415
Nature's Prophet -65.3483
Chaos Knight -73.5442
Sven -77.3029
Meepo -80.9843
Shadow Shaman -84.8004
Marci -85.0183
Alchemist -90.8172
Abaddon -92.4934
Mirana -93.8215
Spirit Breaker -95.8812
Dragon Knight -99.5518
Io -103.0863
Tidehunter -104.6068
Brewmaster -104.7258
Undying -108.4223
Dazzle -108.5760
Bounty Hunter -111.3121
Anti-Mage -112.3088
Mars -113.3587
Night Stalker -117.9832
Terrorblade -123.0518
Broodmother -137.5964
Slardar -139.4643
Slark -144.0054
Doom -168.2470
Faceless Void -170.3549
Magnus -172.3067
Lone Druid -174.9705
Lycan -178.2952
Naga Siren -196.7830
Chen -207.1806